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Finding the Fourth Proportional to 656.78, 986.56 and 413.47

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Solution

The fourth proportional to 656.78, 986.56 and 413.47 is: 621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.78 : 986.56 = 413.47 : x
  2. Step 2: Convert to fraction form
    656.78/986.56 = 413.47/x
  3. Step 3: Cross multiply
    656.78x = 986.56 × 413.47
  4. Step 4: Simplify right side
    656.78x = 407,909.46
  5. Step 5: Solve for x
    x = 407,909.46/656.78
  6. Step 6: Final answer
    x = 621.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.